Search a number
-
+
105734070 = 23251390371
BaseRepresentation
bin1100100110101…
…01111110110110
321100221211212200
412103111332312
5204031442240
614254125330
72422503411
oct623257666
9240854780
10105734070
1154758632
122b4b0846
1318ba0750
1410084b78
159438930
hex64d5fb6

105734070 has 48 divisors (see below), whose sum is σ = 296058672. Its totient is φ = 26026560.

The previous prime is 105734063. The next prime is 105734071. The reversal of 105734070 is 70437501.

It is a super-2 number, since 2×1057340702 = 22359387117529800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105734071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44016 + ... + 46355.

It is an arithmetic number, because the mean of its divisors is an integer number (6167889).

Almost surely, 2105734070 is an apocalyptic number.

105734070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105734070 is an abundant number, since it is smaller than the sum of its proper divisors (190324602).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105734070 is a wasteful number, since it uses less digits than its factorization.

105734070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90397 (or 90394 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 105734070 is about 10282.7073283256. The cubic root of 105734070 is about 472.8662483290.

The spelling of 105734070 in words is "one hundred five million, seven hundred thirty-four thousand, seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 90371 180742 271113 451855 542226 813339 903710 1174823 1355565 1626678 2349646 2711130 3524469 4066695 5874115 7048938 8133390 10573407 11748230 17622345 21146814 35244690 52867035 105734070